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Finding the Fourth Proportional to 33,490.72, 50,243.43 and 9,800.27

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Solution

The fourth proportional to 33,490.72, 50,243.43 and 9,800.27 is: 14,702.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,490.72 : 50,243.43 = 9,800.27 : x
  2. Step 2: Convert to fraction form
    33,490.72/50,243.43 = 9,800.27/x
  3. Step 3: Cross multiply
    33,490.72x = 50,243.43 × 9,800.27
  4. Step 4: Simplify right side
    33,490.72x = 492,399,179.73
  5. Step 5: Solve for x
    x = 492,399,179.73/33,490.72
  6. Step 6: Final answer
    x = 14,702.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.